MM01
Graphing
Calculator
Everything you need for NCEA Mathematics and Statistics, in the order you will actually need it. Every step shows you exactly what should be on the screen.
NZQA ApprovedSet up in 60 seconds
Do this once, when you take the calculator out of the box. Every step below shows you exactly what should be on the screen, so you can check you are in the right place.
Turn it on and open the main menu
- ON
The calculator wakes up in whichever mode it was last used in.
- MODE
The main menu appears. These are the ten modes.
RUN1CPLX2STAT3BASE4EQUA5TABLE6MAT7VECT8GRAPH9SOLVE01:CalculateThe number in the corner of each icon is the shortcut key. - 1
This enters Run mode — ordinary working. If you move the cursor with the arrow keys instead, press = to confirm.
▌A blank working screen with the cursor. You are in Run mode.
Open the setup screen
- MODE1thenSHIFTMODEsetupCalc Settings▶System Settings▶Reset▶Three groups. Move with ▲ ▼ and press = to open one.
1. Set Input/Output to MathI/MathO
This makes fractions, surds and π appear the way they do in your textbook, and keeps answers exact. √2 × 3 returns 3√2, not a decimal.
- SHIFTMODE
Calc Settings is already highlighted.
Calc Settings▶System Settings▶Reset▶ - =
Opens the list of calculation settings.
Input/Output▶Angle Unit▶Number Format▶Engineer Symbol▶Fraction Result▶ - =
Four display formats.
MathI/MathOMathI/DecimalOLineI/LineOLineI/DecimalO - =→AC
MathI/MathO is now set. AC takes you back to working.
2. Set the Angle Unit
Degrees for triangle work. Radians whenever calculus is involved. More marks are lost to this setting than to any other.
- SHIFTAnsDRG▶
The angle menu opens straight away — you do not need to go through setup.
DegreesRadiansGradians - ▼or▲→=
Choose the one the question needs and press =.
3. Check the contrast
- SHIFTMODE→▼→=
Opens System Settings.
Contrast▶AutoPower Off▶MultiLine Font▶ - =→◀lighter▶darkerContrast▌▌▌▌▌▌░░░Light Dark[◀] [▶]If the screen is faint after a few months, change the batteries before you change the contrast.
- AC
Back to working.
The ten modes
Press MODE from anywhere to come back here. This is the map for the whole calculator.
How to enter a mode
- MODERUN1CPLX2STAT3BASE4EQUA5TABLE6MAT7VECT8GRAPH9SOLVE01:Calculate
Press the number shown in the corner of the icon — for example 5 for Equation mode. Or move to it with the arrow keys and press =.
RUN1CPLX2STAT3BASE4EQUA5TABLE6MAT7VECT8GRAPH9SOLVE05:EquationMoving the cursor changes the label along the bottom.
Two keys do the heavy lifting
- Tools — opens the menu for whichever mode you are in. If you cannot find a function, press Tools.
- Exit — steps back one level without wiping what you have entered.
Everyday keys
Orange labels above a key are reached with SHIFT. Pink labels are reached with ALPHA. The key faces below are drawn exactly as they appear on your calculator.
| What you want | Press |
|---|---|
| Fraction | key |
| Mixed number | SHIFT + gives |
| Square root · cube root | √ · SHIFT √ = 3√ |
| Square · cube | x2 · SHIFT x2 = X3 |
| Any power · any root | x · SHIFT x = √ |
| log base 10 · log to any base | SHIFT (−) · log |
| ln · ex | ln · SHIFT ln |
| π · e | SHIFT ×10x · ALPHA ×10x |
| Reciprocal · factorial x! | x−1 · SHIFT x−1 |
| Permutations nPr · combinations nCr | SHIFT × · SHIFT ÷ |
| Percentage | SHIFT ( |
| Comma, to separate two values | SHIFT ) |
| Absolute value | x | | SHIFT hyp |
| Quotient and remainder | SHIFT Format (÷R) |
| Random decimal · random integer | SHIFT • → Random Number / Random Integer |
| Store a value in A–F, X, Y, M | SHIFT RCL (STO), then the variable key |
| Recall a stored value | RCL |
| Summation Σ | SHIFT X,T |
| Derivative · integral | SHIFT ∫ · ∫ |
| Degrees, minutes, seconds | °’’’ |
| Change how the answer is displayed | Format |
| Insert / overwrite while editing | SHIFT DEL |
| Turn off | SHIFT AC |
Algebra & equations
Equation mode does the arithmetic so you can spend your time on the method and the interpretation — which is where the marks are.
Worked example — quadraticSolve x² − 6x + 5 = 0, and state the coordinates of the turning point.
- MODE
Open the main menu.
RUN1CPLX2STAT3BASE4EQUA5TABLE6MAT7VECT8GRAPH9SOLVE05:Equation - 5
Enters Equation mode. Three tools appear.
Simul EquationPolynomialSolver - ▼
Move down to Polynomial.
Simul EquationPolynomialSolver - =
Choose the degree of your equation. A quadratic is the first one.
ax2+bx+cax3+bx2+cx+dax4+bx3+cx2+dx+e - =
The coefficient editor opens with everything set to zero. The cursor is under a.
abc0000 Type each coefficient and press = after it. For x² − 6x + 5 that is 1 = (−) 6 = 5 =.
Watch outUse the (−) key to make a number negative — not the − key. They are different keys.abc1-655- =
Both roots appear. ▼ steps through them.
ax2+bx+c=0x1 5x2[ 1]Roots: x = 5 and x = 1. - =
Pressing = again gives the turning point — no completing the square needed.
Min of y=ax2+bx+cx 3y[ -4]Minimum at (3, −4).
Worked example — three unknownsSolve x − y + z = 2 · x + y − z = 0 · −x + y + z = 4
- MODE5
Simul Equation is already highlighted.
Simul EquationPolynomialSolver - =
Choose how many unknowns you have.
2 Unknowns3 Unknowns4 Unknowns - ▼→=
Pick 3 Unknowns. A grid opens: one row per equation, one column per coefficient, with the constant in the last column.
abcd0000000000000 Type the numbers straight across, pressing = after each. Row 1 is 1, −1, 1, 2, row 2 is 1, 1, −1, 0, row 3 is −1, 1, 1, 4.
AC clears every coefficient if you need to start again.
abcd1-11211-10-11144- =
The solution appears. ▼ steps through x, y and z.
anx+bny+cnz=dnx 1y[ 2]z[ 3]x = 1, y = 2, z = 3.
Complex roots — Level 3
By default the calculator hides complex solutions and reports No Real Roots instead — which is the answer you want when a question asks whether real solutions exist. To see them, switch Complex Roots on.
- MODE5→▼→=→=
Get into the coefficient editor for a quadratic, exactly as above.
abc0000 - Tools
Ask for complex roots to be shown.
Complex Roots?●OnOff - =
On is now set. Enter 2, 3, 4 for 2x² + 3x + 4 = 0 and press =.
ax2+bx+c=0x1 -0.75+1.198ix2[-0.75-1.198i]-3+√23 i4Press Format to switch between a+bi and r∠θ.
Solver — rearranging formulae
Solver finds any variable in any equation you type.
- MODE5→▼▼→=
Choose Solver.
Input Equation Type the left-hand side. For 2x = 3A − 5 that is 2 X,T.
ToolsThe equals sign lives in the Tools menu.
=Solve- =
Now type the right-hand side, 3 ALPHA (−) (A) − 5, then press =.
2X=3A-5Solve TargetXA - ▼→=
Choose which variable you want to find — here, A.
Enter InitialValueA =0▶Execute Type a starting value near the answer you expect, move to Execute and press =.
2X=3A-5A= 2.333333333L-R= 0L−R = 0 means both sides balance, so the answer is good.
Repeated substitution — CALC
- MODE1
Run mode. Type an expression with variables in it, such as 3A + B.
- Tools→CALC=
The calculator asks for each value in turn, then gives the answer. Perfect for putting five different numbers through the same formula without retyping it.
3A+BA =0B =0▶Execute
Graphs & tables
Four plotting modes plus a set of reference graphs. This is what the MM01 does that a scientific calculator cannot.
- Coordinate equation — up to four functions at once: y1, y2, y3, y4
- Conic curve — templates for circles, ellipses, parabolas and hyperbolas
- Polar functions — r = f(θ), up to four
- Parametric equation — two pairs of x(t), y(t)
- Learn — eight built-in reference graphs (y = x², √x, x−1, ex, ln x, x³, sin x, tan x) already scaled to a sensible window
Worked example — two graphs at onceDraw y = 2x and y = x² and find where they meet.
- MODE9
Enters Graphic mode. Five ways to plot.
Coordinate equationConic curve▶Polar functionsParametric equationLearn▶ - =
Coordinate equation gives you four function slots.
Formulay1=y2=y3=y4=▶Execute - =
Opens the y1 line for typing. Enter 2X using the X,T key for the x.
Formulay1=2Xy2=y3=y4=▶Execute - =→▼
= locks the line in. While you are typing, the arrow keys will not move you to the next slot — you must press = first. Then ▼ moves to y2.
- =typeX,Tx2then=
Enter X² in the y2 slot.
Formulay1=2Xy2=X2y3=y4=▶Execute - ▼to Execute=
Both curves are drawn.
y = 2x and y = x² on the default window. - Tools
Everything you can do to the picture lives here.
View WindowZoom▶TraceSketch▶Exit
The graph screen menu
| Option | What it does |
|---|---|
| View Window | Set Xmin, Xmax, Xscl, Ymin, Ymax, Yscl, Tmin, Tmax and Pitch. A smaller Pitch gives a smoother curve. |
| Zoom | Zoom In, Zoom Out and Zoom Org (back to the default view). Once selected you can drag the picture with the arrow keys. |
| Trace | Run a cursor along the curve and read the coordinates. |
| Sketch | Plot a point, draw a Line between two points, add a Horizontal or Vertical line, or draw a Tangent at any point on the curve. |
| Exit | Back to the formula editor. |
Drawing a circle — conic templates
- MODE9→▼
Move to Conic curve.
Coordinate equationConic curve▶Polar functionsParametric equationLearn▶ - =
Ready-made templates for circles, ellipses, parabolas and hyperbolas. ▼ scrolls to more.
(x-a)²+(y-b)²=r²x²+y²+Dx+Ey+F=0x²/a² + y²/b² = 1y²/a² + x²/b² = 1 - =
Type the centre and radius, pressing = after each.
(x-a)²+(y-b)²=r²(r>0)a=0b=0r=1▶Execute - ▼to Execute=
The circle is drawn. Tools → View Window if it looks squashed.
x² + y² = 1, centred on the origin.
Tables of values
One function gives up to 45 rows; two functions give up to 30.
- MODE6
Enters Table mode. Three empty columns.
xf(X)g(X)f(X)/g(X):None - Tools
The table menu.
Table RangeDefine f(x)/g(x)▶Table Type▶Edit▶Graphic▶ - ▼→=
Choose Define f(x)/g(x), then pick which function to enter.
Define f(X)Define g(X) - =type2X²+1then=
Repeat for g(X) if you want a second column.
f(X)=2X²+1 - Tools→Table Range=
Set the first x value, the last one, and the gap between them.
Table RangeStart:1End :3Step :0.5▶Execute - ▼to Execute=
The table fills in. Change any x value and its row recalculates on the spot.
xf(X)g(X)1311.55.53.52972.513.511.51
Reading a value off a graph — G-Solve
- MODE0
Enters G-Solve.
G-Solvey =a =▶Execute - =type2X=
Type the function in y, then the x value you want in a.
G-Solvey =2Xa =1▶Execute - ▼to Execute=
The graph is drawn and the coordinates appear top left.
x=0.4724
y=0.9047 - Tools→View Window=
Narrow the window around the point, then Execute again for a sharper reading.
x=0.5
y=1Now exact to the displayed digits.
Trigonometry
Set the angle unit first, every single time. Degrees for triangle work, radians whenever calculus is involved.
| Function | Keys |
|---|---|
| sin, cos, tan | sin cos tan |
| sin−1, cos−1, tan−1 | SHIFT + the same key |
| Hyperbolic functions | hyp, then pick from the menu |
| Degrees, minutes, seconds | °’’’ between each part |
| Rectangular → polar | SHIFT + (Pol) |
| Polar → rectangular | SHIFT − (Rec) |
Worked example — bearings and componentsConvert the point (√2, √2) to polar form.
- MODE1
Run mode.
- SHIFTAns→Degrees=
Set the angle unit before you start.
DegreesRadiansGradians - SHIFT+Pol
Pol( appears on screen.
Pol( - √2→▶→SHIFT)comma
▶ steps out of the square root. SHIFT ) types the comma.
Pol(√2, - √2→▶→)→=Pol(√2,√2)r=2,θ=45r and θ are also stored in the variables X and Y, ready for your next line of working.
Working in degrees, minutes and seconds
Add 2°20'30" and 0°39'30":
Type each part followed by the °’’’ key: 2 °’’’ 20 °’’’ 30 °’’’
2°20°30°Then + and the second angle, 0 °’’’ 39 °’’’ 30 °’’’, and press =.
2°20°30°+0°39°30°3°0'0"Enter just degrees, or degrees and minutes, and the rest is filled with zeros.Press Format and choose Sexagesimal to turn any decimal answer back into degrees, minutes and seconds.
DecimalImproper FractionMixed FractionENG NotationSexagesimal
Calculus
The MM01 evaluates derivatives at a point and definite integrals numerically. Use it to check the answer you got by hand — that is exactly how it earns marks.
Worked example — derivative at a pointGiven f(x) = x³ − 4x², find f′(2).
- MODE1
Run mode.
- SHIFT∫d/dx
The derivative template appears with an empty box for the function and another for the x value.
d――(□)|x=□dx Type the function using the X,T key for x: X,T x 3 ▶ − 4 X,T x2
▶ steps out of a raised power before you carry on typing.
d/dx(X³-4X²)|x=□- ▶to the x box2
▶ moves the cursor into the | x = box.
d/dx(X³-4X²)|x=2 - =d/dx(X³-4X²)|x=2-4Check by hand: f′(x) = 3x² − 8x, so f′(2) = 12 − 16 = −4.
Worked example — definite integralEvaluate the integral of (3x² + 2x) from x = 0 to x = 2.
- ∫
The integral template appears, with boxes for the function and both limits.
∫□□(□)dX Type the function: 3 X,T x2 + 2 X,T
∫□□(3X²+2X)dX- ▲upper limit2
▲ jumps to the top of the integral sign.
∫2□(3X²+2X)dX - ▼lower limit0
▼ jumps to the bottom.
∫20(3X²+2X)dX - =∫20(3X²+2X)dX12By hand: [x³ + x²] from 0 to 2 = 8 + 4 = 12.
Summation Σ
Useful for sequences and series at Level 2 and 3. This one finds Σ(x + 2) from x = 1 to 5.
- SHIFTX,TΣ
The summation template appears.
Σ□x=□(□) Type the expression X,T + 2, then ▲ for the top limit (5) and ▼ for the bottom limit (1).
Σ5x=1(X+2)- =Σ5x=1(X+2)25
Tangents on a graph
- MODE9→=
Draw your curve in Coordinate equation as usual.
- Tools→▼▼▼Sketch=PlotLineHorizVertTangent
- =→◀▶move=
Move the cursor along the curve to the point you want and press =. The tangent is drawn.
Statistics
Statistics mode holds up to 10 columns of 50 values, with seven regression models for bivariate work.
Worked example — summary statisticsFind the five-number summary and standard deviation for 10, 20, 30.
- MODE3
Enters Statistics mode. Up to 10 columns of 50 values.
List 1List 2List 3List 4 - Tools
The statistics menu. Select Type is highlighted.
Select Type▶Distribution▶2-Var ResultsReg Results▶Graphic▶ - =
Choose one-variable data.
1-Variable2-Variable - =
Leave the defaults. If your data has frequencies, set 1Var Freq to List2.
1Var XList :List1▶1Var Freq : 1▶▶List View - ▼to List View=
Type each value followed by =: 10 = 20 = 30 =
List 1List 2List 3List 410203030 - Tools→1-Var Results=
Every summary statistic in one screen. ▲ ▼ scroll through the rest.
x̄ =20Σx =60Σx² =1400σx =8.164965809Sx =10n =3 - ▼▼
Keep scrolling for the five-number summary.
min(x) =10Q1 =10Med =20Q3 =30max(x) =30Everything you need for a box plot.
Worked example — scatter plot and regressionFit a line to the pairs (15, 21), (16, 22), (17, 23).
- MODE3→Tools→=
Open Select Type and choose 2-Variable.
1-Variable2-Variable - =
Explanatory variable goes in List1, response in List2.
2Var XList :List1▶2Var YList :List2▶2Var Freq : 1▶▶List View - ▼▼▼to List View=
Type the pairs down List1, then move across and type the matching values down List2.
List 1List 2List 3List 415211622172323 - Tools→▼▼▼Reg Results=
Seven models to choose from.
y=a+bxy=a+bx+cx²y=a+b·ln(x)y=a·e^(bx)y=a·b^x - =
The coefficients and the correlation coefficient r.
y=a+bxa=6b=1r=1So y = 6 + x, with r = 1. - Tools→Graphic=
A scatter diagram plots the raw points; A chart overlays the fitted curve.
A scatter diagramA chart
Making a prediction from your model
- Tools→Statistics Calc=
Pick the same model you fitted.
Statisticsy=a+bx Type the x value you want a prediction for — say 2.
- Tools→Statistics→Regression→ŷ=
The predicted y value appears.
2ŷ8
Editing your data
- Tools→Edit=Insert OneDelete Column
Insert One adds a blank row above the cursor. Delete Column clears the column you are in. To change one value, move to the cell, type the new number and press =.
Probability distributions
Eight distributions built in, each with a density, a cumulative probability and an inverse. No tables, no interpolation.
| Choose | Use it when the question asks |
|---|---|
| P.D Probability Density | the probability at a single value — for a discrete distribution this is P(X = x) |
| C.D Cumulative Distribution | the probability over an interval, between a Lower and an Upper bound |
| Inverse | “what value of x gives this probability?” — you supply the Area and the Tail |
Worked example — normal distributionHeights are normally distributed with mean 170 cm and standard deviation 8 cm. Find P(X < 180).
- MODE3
Statistics mode.
List 1List 2List 3List 4 - Tools→▼
Move down to Distribution.
Select Type▶Distribution▶2-Var ResultsReg Results▶Graphic▶ - =
Eight distributions are built in.
Normal▶Student-t▶χ²▶F▶Binomial▶▼ scrolls on to Poisson, Geometric and Hypergeometric. - =
Normal offers three calculations.
P.DC.DInverse - ▼→=
C.D is the one for a probability over an interval. Fill in each field and press = after it.
Normal C.DData :Var▶Save Res:None▶Lower :0Upper :180σ :8μ :170▶Execute - ▼to Execute=
About 89.4% of people are shorter than 180 cm.
Normal C.Dp=0.8944…
Worked example — inverse normalSame distribution. What height is exceeded by only the tallest 10%?
- Tools→Distribution=→Normal=→▼▼Inverse=P.DC.DInverse
Area is the probability you already know — it must be between 0 and 1. Tail tells the calculator which side you are measuring from: Left, Right or Central.
Normal InverseArea :0.9Tail :Leftσ :8μ :170▶Execute- ▼to Execute=
So the tallest 10% are above about 180.3 cm.
Normal Inversex=180.2524…
Worked example — binomialA test has 10 questions, each with probability 0.3 of a correct guess. Find P(X = 4) and P(X ≤ 4).
- Tools→Distribution=→▼▼▼▼Binomial=Normal▶Student-t▶χ²▶F▶Binomial▶
- =P.D
For P(X = 4): x = 4, Numtrial = 10, p = 0.3.
Binomial P.DData :Var▶x :4Numtrial:10p :0.3▶Execute - ▼to Execute=Binomial P.Dp=0.200120949P(X = 4) ≈ 0.2001
For P(X ≤ 4), go back and choose C.D instead, with Lower = 0 and Upper = 4.
Binomial C.Dp=0.8497316674P(X ≤ 4) ≈ 0.8497
Doing a whole column at once
Set Data : List instead of Var and the calculator works through every value in a list. Set Save Res to a spare list (List2, List3…) and the results are written back into the table where you can read or graph them. Leave it as None if you only want the answer on screen.
| Parameter | Meaning |
|---|---|
| x | The value you are asking about |
| μ · σ | Mean · standard deviation (σ must be positive) |
| Lower · Upper | The bottom and top of the interval |
| Area | A known probability, between 0 and 1 |
| Tail | Which side the area is measured from: Left, Right or Central |
| df | Degrees of freedom (t and χ²); n:df and d:df for F |
| Numtrial · p | Number of trials · probability of success on one trial (binomial) |
| n · M · N | Sample size · successes in the population · population size (hypergeometric) |
Before an assessment
The MM01 is NZQA Approved. Examination rules require a graphing calculator’s memory to be cleared before an external examination — check what your school asks for, then do this in front of your supervisor.
- ON
Turn the calculator on.
- MODE1
Go into Run mode. Setup can only be opened from inside a mode, so this step matters. If you move the cursor with the arrow keys instead, press = to confirm.
RUN1CPLX2STAT3BASE4EQUA5TABLE6MAT7VECT8GRAPH9SOLVE01:Calculate - SHIFTMODEsetup
The setup screen opens.
Calc Settings▶System Settings▶Reset▶ - ▼▼→=
Move down to Reset and open it.
Calc Settings▶System Settings▶Reset▶ - ▼→=
Choose Variable Memory.
Settings & Data▶Variable Memory▶Initialize All▶ - =on Yes
Confirm. Yes is already highlighted — press =. Choose Cancel if you have changed your mind.
Reset OK?Variable MemoryYesCancelThe stored variables are cleared and you are back at a blank screen.
| Reset option | What it clears |
|---|---|
| Settings & Data | All settings and all stored data |
| Variable Memory | The variables A–F, X, Y and M |
| Initialize All | Everything — a full factory reset |
Then, in the first minute of the exam
- Set the Angle Unit — SHIFT Ans — to degrees or radians, depending on the paper.
- Confirm Input/Output is on MathI/MathO. A reset returns it there automatically.
- Set AutoPower Off to 60 minutes so it does not switch off mid-question: SHIFT MODE → System Settings → AutoPower Off.
- Take a spare set of batteries.
Error messages
The MM01 tells you what went wrong. Here is what each message means and what to do next.
| Message | What has happened | What to do |
|---|---|---|
| Math ERROR | A result is outside the calculator’s range, or the calculation is not legal — dividing by zero, for instance. | Check the values you entered and reduce the number of digits. |
| Syntax ERROR | The calculation is not written in a form the calculator can read. | Press ◀ to go back into the line and fix it — usually a missing bracket. |
| Stack ERROR | The expression is too deeply nested. | Break the calculation into two or three shorter steps. |
| Time out | A differentiation or integration did not converge. | Adjust the limits or the tolerance, or split the interval. |
| Cannot Solve | Solver, differentiation or integration could not find a result. | Enter a starting value closer to the answer you expect, then run it again. |
| Range ERROR | The table you asked for has more rows than the calculator allows. | Change Start, End or Step to shorten the table. |
| Variable ERROR | A variable in the expression has no value. | Check the expression and assign the missing value. |
| Dimension ERROR | Matrices or vectors of different sizes were combined. | Redefine them so the dimensions match. |
| Not Defined | A matrix or vector was used before it was set up. | Define its size and enter the values first. |
| Infinite Solution | The system has no single solution. | Check the equations you typed — often two of them are the same line. |